The Finite-Capacity Latency–Erasure Program as a Unified Research Framework From Ontological Postulates to Source Closure, Dynamical Consistency, Perturbative Structure, Thermodynamic Admissibility, and Strong-Field Completion

We synthesize the finite-capacity latency–erasure program into a unified multiscale research framework spanning ontology, patch-based microphysics, covariant source closure, weak-field gravity, cosmology, nonequilibrium memory, stochastic fluctuations, perturbative matter response, dynamical wave consistency, nonlinear hierarchy, thermodynamic closure, compact-object completion, and benchmark-oriented numerical inference. Earlier papers of the program developed these sectors separately and then progressively linked them through parameter genealogy, admissibility logic, and cross-sector closure. The present work serves as the capstone synthesis. Our central claim is not that a final microscopic theory has been completed, but that the program has reached the threshold of framework status: its sectors now share a common ontological motivation, a common canonical variable set, a common source hierarchy, a common admissibility structure, and a common benchmark logic. We identify the finite-capacity postulates underlying the program, formulate the canonical latency variable and proper-time law, define the unified source hierarchy and effective temperature law, and show how weak-field gravity, cosmology, memory, stochastic timing, perturbation theory, thermodynamic closure, and strong-field compact-object behavior emerge as controlled reductions of one multiscale architecture rather than as disconnected phenomenological additions. We organize the program into seven structural pillars: microphysical realization, covariant source closure, weak-field and perturbative response, dynamical propagation, nonlinear hierarchy, thermodynamic admissibility, and strong-field completion. We then present a program-wide reduction map from patch occupancy and overwrite dynamics to effective observables across gravity, cosmology, clocks, noise, waves, structure growth, and compact objects. Finally, we define layered admissibility filters and explicit program-level falsification criteria, and place the benchmark atlas and decisive-island logic into a unified inference strategy. In this form, the finite-capacity latency–erasure program is not merely a collection of related manuscripts. It is a unified research framework with common ontology, common variables, common closure principles, common regime logic, and explicit source, dynamical, thermodynamic, and strong-field completion rules.